Finding the Third Proportional to 50,538 and 110,041

Step by Step Solution

1. Step 1: Write the proportion equation
   50,538 : 110,041 = 110,041 : x
2. Step 2: Convert to fraction form
   50,538/110,041 = 110,041/x
3. Step 3: Cross multiply
   50,538x = 110,041 × 110,041
4. Step 4: Simplify right side
   50,538x = 12,109,021,681
5. Step 5: Solve for x
   x = 12,109,021,681/50,538
6. Step 6: Final answer
   x = 239,602.31